Monday
April 27, 2015

# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

Calculus
If f(x)=the sqrt of 3x,find f'(3). Isn't it 3/2•sqrt of 3?
Friday, December 5, 2014 at 7:27pm

Can you please explain these two questions to me? Suppose the population size of a predator is given by P (x) = 0.006x2 + 0.005x, where x represents the population of its prey. If the population of the prey is 10,000 at the first of January and is reduced to 6,000 by May 1 of ...
Friday, December 5, 2014 at 12:41pm

Calculus
How do I find the area of the region bounded by the graphs of the given equations? y=x+20; y=x^2
Friday, December 5, 2014 at 2:51am

I know the answer to the first one is "e" and the answer to the second one is "a "but I have no idea why please explain how to do these two problems. I am very confused with this method. Thank you! The “Cobb-Douglas” productivity function for a ...
Friday, December 5, 2014 at 1:36am

calculus
If sec x = -3, 0 < x < pi, find cot x.
Thursday, December 4, 2014 at 10:19pm

pre-calculus
6cos^2(x)-5cos(x)-6
Thursday, December 4, 2014 at 7:36pm

Calculus
can you show me the steps to evaluate this indefinite integral. s(e/x^4+pie^2/square root of x
Thursday, December 4, 2014 at 6:36pm

Calculus
The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)=x(60x^2+30x), where x is the amount of cheese sold in hundreds of pounds. The "profit" is -$50 when cheese is sold. a. Find the profit function. P(x)= b. Find the profit from ... Thursday, December 4, 2014 at 6:01pm Calculus a particle moves along the x-axis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle Thursday, December 4, 2014 at 1:37am Calculus A sherman is in a rowboat on a lake and 3 km from shore. He wishes to reach a store 2 km down the (straight) shore. He can row at 5 km/h and run at 13 km/h. To what point down-shore should he row to get to the store as quickly as possible? 8. The cross-section of a tunnel Wednesday, December 3, 2014 at 9:14pm Calculus With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation. Wednesday, December 3, 2014 at 4:19pm CALCULUS - PLEASE HELP! It is known that homing pigeons tend to avoid flying over the water in the daytime, perhaps because the downdrafts of air over water make flying difficult. Suppose a homing pigeon is released on an island at point C , which is 3 km directly out in the water from a point B ... Tuesday, December 2, 2014 at 9:22pm calculus 2 Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π. Order your answers from smallest to largest θ. If an intersection occurs at the pole, enter POLE in the first answer blank.) r = 1 − cos θ, r = 1 + sin θ Tuesday, December 2, 2014 at 8:32pm Calculus Differentiate. e^cos(x^2+1) Is the answer -2xe^cos(x^2+1) sin(x^2+1)? Monday, December 1, 2014 at 10:10pm calculus Let f'(x)=4x^3-12x^2. (a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related? the only one that i can figure out is: f(x)=x^4+4x^3+y where y can equal any constant. any help on figuring out the other two ... Monday, December 1, 2014 at 10:01pm calculus When a ball is thrown vertically upward into the air with a velocity of 79 ft/sec its height, y(t), in feet after t seconds is given by y(t) = 79t − 16t 2 . Find the average velocity of the ball over the interval from 3 to 3 + h seconds, h 6=/= 0. 1. average vel. = &#... Monday, December 1, 2014 at 9:21pm calculus I needed help with these FRQ in my APCalc course. Any help or walkthrough would be extremely helpful - thanks in advance. Let f be the function given by f(x)=3ln((x^2)+2)-2x with the domain [-2,4]. (a) Find the coordinate of each relative maximum point and each relative ... Monday, December 1, 2014 at 9:15pm General Calculus Question On a graph what ways can it not be differentiable? I know at cusps it's not differentiable but are there other instances where it is not differentiable? Monday, December 1, 2014 at 9:14pm Calculus Water is being poured into a spherical bowl of radius 4cm at a rate of 2cm3/s. How fast is the water level rising when it is at 2cm? Monday, December 1, 2014 at 7:24pm calculus, help! Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong Monday, December 1, 2014 at 3:42pm Calculus consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 Evaluate the definite integral: int_{-2}^{3} f(x)\,dx = Monday, December 1, 2014 at 2:27pm Calculus Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do Monday, December 1, 2014 at 11:12am Calculus Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints. Monday, December 1, 2014 at 10:50am Calculus...help The projected public spending by the British government for the years 2010-2011 (t = 0) through 2014-2015 (t = 4) is 692 billion pounds/year. The projected public revenue for the same period is f(t) = 292.6t + 134.4 / t + 6.9 + 500 billion pounds (0 ge t ge 4). Find the ... Monday, December 1, 2014 at 12:02am calculus The number of U.S. citizens 65 and older from 1990 through 2050 is estimated to be growing at the rate of, R(t)=0.063t^2 -0.48t+3.87, (0 less than or = t less than or = 15) million people/decade, where t is measured in decades and t = 0 corresponds to 1900. Show that the ... Sunday, November 30, 2014 at 11:50pm Differential equations in Calculus...plsssss help? Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ... Sunday, November 30, 2014 at 11:42pm Calculus Find the limit as x approaches 1 5/(x-1)^2 I don't understand how to solve it because there would be a 0 on the denominator. Sunday, November 30, 2014 at 11:09pm Calculus Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these Sunday, November 30, 2014 at 10:43pm Calculus with Diffrential Equations: Pleease help? Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ... Sunday, November 30, 2014 at 8:45pm Calculus Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ... Sunday, November 30, 2014 at 8:30pm Help with differential eqs problem???? (Calculus) Consider the differential equation dy/dt=y-t a) Determine whether the following functions are solutions to the given differential equation. y(t) = t + 1 + 2e^t y(t) = t + 1 y(t) = t + 2 b) When you weigh bananas in a scale at the grocery store, the height h of the bananas is ... Sunday, November 30, 2014 at 7:49pm Calculus The slope of the line tangent to the curve xy+(y+1)^2=6 at the point (2, 1) is Sunday, November 30, 2014 at 7:47pm AP Calculus For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these Sunday, November 30, 2014 at 7:30pm Calculus Find limit as x approaches 5 (x^2-3x-10)/(x-5) Sunday, November 30, 2014 at 6:03pm AP Calculus Find the derivative for f(x)=-x^2+x Do I put -x^2 on the denominator? How would I solve it if that's the case? Sunday, November 30, 2014 at 5:58pm Calculus Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these Sunday, November 30, 2014 at 5:55pm AP Calculus Find f'(x): f(x)=(x^2-3x)/x^2 A. 2x-3/x^2 B. 2x-3/2x C. 1-(3/x) D. 3/x^2 E. None of these I get confused on the simplifying part. Sunday, November 30, 2014 at 5:53pm AB Calculus I figured out that part "A" is -3/8, but i can't figure out part 2, a or b. please explain and help. thanks. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. a) how is ... Sunday, November 30, 2014 at 5:24pm AP Calculus Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity E. None of these Sunday, November 30, 2014 at 2:59pm Calculus Find the derivative: f(x)=1/cubed root(3-x^3) A. -1/3(3-x^3)^4/3 B. x^2/(3-x^3)^4/3 C. -x^2/(3-x^3)^2/3 D. -x^2/(3-x^3)^4/3 E. None of these Sunday, November 30, 2014 at 1:50pm Calculus If f(x)=x^2+1 and g(x)=2x-1, find d/dx[f'(g(x))] at x=1 A. 2 B. 6 C. 4 D. 0 E. None of these Sunday, November 30, 2014 at 12:30pm AP Calculus Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line. Sunday, November 30, 2014 at 12:23pm Calculus Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these Sunday, November 30, 2014 at 12:15pm Calculus,Reaction rates A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at 10 ft/s. If the bridge is 10 ft above the boat, how fast are the man and the boat separating 1 second later? Sunday, November 30, 2014 at 11:58am AP Calculus Let f(7)=0, f'(7)=14, g(7)=1, g'(7)=1/7. Find h'(7) if h(x)=f(x)/g(x) Sunday, November 30, 2014 at 11:58am Calculus Find the derivative of x^2f(x) A. x[xf'(x)+2f(x)] B. 2xf'(x) C. x[xf'(x) +2f'(x)] D. x^2f'(x) E. None of these Sunday, November 30, 2014 at 11:53am Calculus,reaction rates A car starting at 12:00 noon travels west at a speed of 30 kph. Another car starting from the same point at 2:00 PM travels north at 45 kph. Find how fast the two are separating at 4:00 PM? Sunday, November 30, 2014 at 11:52am Calculus Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1) A. y+1=-1/3(x+1) B. y-1=-x/3y(x-1) C. x+3y=2 D. y-1=-1/3(x-1) E. None of these Sunday, November 30, 2014 at 11:42am Calculus Find the equation of the line that passes through (1,3) and is perpendicular to the line 2x+3y+5=0 A. 3x-2y+3=0 B. 2x+3y-11=0 C. 2x+3y-9=0 D. 3x-2y-7=0 E. None of these I got E? Sunday, November 30, 2014 at 11:30am Calculus (Cross Section) again A half of a pepperoni stick is 10 cm long. Assume that a cross section perpendicular to the axis of the pepperoni at a distance x from the end if a circle of radius rad(3x). What is the volume of the pepperoni Sunday, November 30, 2014 at 10:51am Calculus (cross section) A solid has a base bounded by x^2_y^2=36. Find the volume of the solid if every plane section perpendicular to the diameter is an isosceles triangle whose base is on the circle and whose height is 4 units Sunday, November 30, 2014 at 10:44am Calculus If f(1)=4 and f'(1)=2, find an equation of the tangent line at x=1 A. y=2x+2 B. y=2x-2 C. y=4x-7 D. y=4x-2 E. None of these Sunday, November 30, 2014 at 4:49am Calculus Find f'(x) if f(x)=sin^3(4x) A. 4cos^3(4x) B. 3sin^2(4x)cos(4x) C. cos^3(4x) D. 12sin^2(4x)cos(4x) E. None of these I got D using the chain rule? Sunday, November 30, 2014 at 4:46am Calculus Which of the following describes the graph of y=|2x+6|? A. Only continuous B. Only differentiable C. Both A and B D. Not continuous, not differentiable E. Constant Sunday, November 30, 2014 at 2:45am Calculus Find d^2y/dx^2 for y=(x+3)/(x-1) A. 0 B. y=-8/(x-1)3 C. y=-4/(x-1)^3 D. y=8/(x-1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative. Sunday, November 30, 2014 at 2:32am Calculus Find dy/dx for y=sin(x+y) A. 0 B. (cos(x+y))/(1-cos(x+y) C. cos(x+y) D. 1 E. None of these I know I'm supposed to use implicit differentiation but I'm not sure how to go about it with sin Sunday, November 30, 2014 at 2:08am Calculus Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these Sunday, November 30, 2014 at 1:50am AP calculus Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line Sunday, November 30, 2014 at 1:47am Calculus For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these Sunday, November 30, 2014 at 1:41am Calculus Find limit as x approaches 5 (x^2-3x-10)/(x-5) A. 2 B. DNE C. 0 D. 7 E. None of these Sunday, November 30, 2014 at 1:33am Calculus If f(x) = {x^2+3x-1, x<=2 and -3bx+3, x<2 , find the value of b in order for f to be continuous Sunday, November 30, 2014 at 1:24am Calculus If f(x) = {x^2+3x-1, x<=2 and -3bx+3, x<2 , find the value of b in order for f to be continuous Sunday, November 30, 2014 at 1:24am Calculus If f(x)=sin(2x), find f"(x) A. 2cos(2x) B. -4sin(2x) C. -2sin(2x) D. -4sinx E. None of these Is it B from using chain rules? Sunday, November 30, 2014 at 1:21am Calculus Find the derivative for f(x)=-x^2+x Do I put the -x^2 as a denominator? How would I solve it if that's what I'm supposed to do? Sunday, November 30, 2014 at 1:16am Calculus Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these Sunday, November 30, 2014 at 1:11am Calculus Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity If I use limit as h approaches 0 f(x+h)-f(x)/h , will I get an x in the answer? Sunday, November 30, 2014 at 12:55am Calculus Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these Do I equal it to 0 and use implicit rule? Sunday, November 30, 2014 at 12:49am Calculus Find f'(x) for f(x)=(2x^2+5)^7 A. 7(4x)^6 B. 7(4x)^7 C. 28x(2x^2+5)^7 D. 7(2x^2+5)^6 E. None of these Would it be none of these because of the 4x in the chain rule? Sunday, November 30, 2014 at 12:43am Calculus Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these Sunday, November 30, 2014 at 12:38am math calculus convert these symmetric equations to parametric form: line 1:(x-1)/k = (y-2)/2 = (z+1)/k-1 and line 2: (x+3)/-2 = (z)/1, y=-1 Saturday, November 29, 2014 at 7:49pm math calculus For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4 a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity. b)find any local extrema c)find points of inflection Saturday, November 29, 2014 at 7:45pm Pre-Calculus You have been hired by the Humane Society to construct six animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the total ... Friday, November 28, 2014 at 11:33pm Calculus I An open box with square base is to be constructed. The material for the base costs$10 per square foot. The material for the sides costs \$1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box that minimize cost. What I have so far: A...
Friday, November 28, 2014 at 9:41pm

Calculus
What is the smallest possible slope for a tangent to y=x^3 - 3x^2 + 5x? (I'm unsure how to approach this problem, if you know how to solve it, please explain step by step. THANK YOU!!!)
Friday, November 28, 2014 at 7:22pm

Calculus
An aquarium is to be constructed to hold 2160 in3. The base is to made of slate and the sides of glass. If slate costs 5 times as much as the glass per sq in, find the dimensions that will minimize the cost of constructing the aquarium. I started going about this problem by ...
Friday, November 28, 2014 at 11:34am

calculus
Baseball Star Bryan is standing at the top of the Sears Tower in Chicago and decides to throw a baseball up with a velocity of 5 m/s. The Sears Tower is 442 meters tall and gravity exerts a constant acceleration of -9.8 m/s/s. Ignore ball mass and wind resistance. a.) Find ...
Friday, November 28, 2014 at 9:37am

Calculus
solve the differential equation dy / dx = 11x^2y^2 with the condition that y(0) = 4 The solution to the equation is y =
Wednesday, November 26, 2014 at 10:16am

Brief Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) Enclosed by y = e^x, y = 2x + 1, x = −2...
Tuesday, November 25, 2014 at 8:43pm

Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)
Tuesday, November 25, 2014 at 11:16am

Calculus
2) If f(x)=∫t^2dt not he integral from 4 to x^3 then f′(x)=?
Tuesday, November 25, 2014 at 11:14am

Calculus
20) Evaluate the definite integral. On the integral from e to e^3 ∫dx/xl(nx)^(1/2)
Tuesday, November 25, 2014 at 11:13am

Calculus
The sales of Universal Instruments in the first t years of its operation are approximated by the function S(t) = t 0.96t2 + 25 where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?
Tuesday, November 25, 2014 at 1:05am

calculus
A) Determine the vector equation of the plane that contains the following two lines: l1: vector r= [4,-3,5] + t[2,0,3], tER l2: vector r= [4,-3,5] + s[5,1,-1], sER b)Determine the corresponding Cartesian equation.
Monday, November 24, 2014 at 10:57pm

math calculus
if i,j,k are the standard unit basic vectors, in 3 space, determine the value of k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k| (Simplify without using components)
Monday, November 24, 2014 at 6:48pm

calculus
(i know i've asked so many questions. i just want to make sure my answers are right for this homework! hopefully it isn't too annoying for you :) ) Find the derivative of the given function. y=(tan^-1)√(3x) A. (1)/(√(1-3x)) B. (1)/(6√(3x(1+3x))) C. (3...
Monday, November 24, 2014 at 6:26pm

calculus
Me again. One last question! Again, just needed my answer verified with any explanation or walk-through. The position of a particle moving along a coordinate line is s=√(3+6t) with s in meters and t in seconds. find the particle's acceleration at t=1 second. a. 1 m/...
Monday, November 24, 2014 at 6:14pm

Calculus
What does y'' mean in calculus? Is there a word for it? Also is there a word for f'(x)? Thanks.
Monday, November 24, 2014 at 5:46pm

calculus
hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
Monday, November 24, 2014 at 4:59pm

calculus
hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
Monday, November 24, 2014 at 4:58pm

Brief Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = −x and y = −x^3 for x in [−1, 1]
Monday, November 24, 2014 at 2:31pm

Calculus
11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx
Monday, November 24, 2014 at 10:14am

Calculus
10) Evaluate the integral by making the given substitution. ∫sec(5x)tan(5x)dx u=5x
Monday, November 24, 2014 at 10:13am

Calculus
9)Evaluate the indefinite integral. ∫x^8e^(x^9)dx
Monday, November 24, 2014 at 10:12am

Calculus
6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
Monday, November 24, 2014 at 10:11am

Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)=?
Monday, November 24, 2014 at 8:47am

Calculus
4) On the integral from 1 to 2 ∫(4x^2+4)/x^2dx =?
Monday, November 24, 2014 at 8:46am

Calculus
2) If f(x)=∫t^2dt on the interval from 4 to x^3 then f′(x)=?
Monday, November 24, 2014 at 8:44am

Calculus
h(t)= -16t^2 + v0t. How fast is the object moving after 5 seconds?
Sunday, November 23, 2014 at 9:20pm

Calculus
Use Riemann sums and limits to compute the area bounded by f(x) = 10x+9 and the x axis between x=10 to x =5 The area is = to
Sunday, November 23, 2014 at 1:41pm

Calculus
Find the x-values of all points where the function below has any relative extrema. Find the values(s)of any relative extrema. G(x)=(x-3)^2/x-4. How do I solve this?
Sunday, November 23, 2014 at 12:27pm

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